Recently Active Calculus Questions

is it better to study calculus from the beginning of class xi or it's better to finish other topics and then go for calculus? ...

If f(x)= x + 1/x , find fo(fof). Answer: (x2 + 1)4 + 3x2 (x2 + 1)2 + x4 /(x2 + 1)(x.x.x.x.x + 3x3 + x) I know the method but could you just show me the manipulation please? ...

whyf(x)=1/x has neither absolute maxima nor minima in interval( 0,1) ...

tell me the graph of min[{x},{-x}] ...

the equation e^(x-1)+x-2=0 has how many roots ?????????? ...

1.the point (0,3) is nearest to the curve x^2=2y at 2.in a triangle ABC ANGLE B=90 and a+b=4 .te area of the triangle is the maximum when angle C is ...

Find the sum of the the intercepts on the axes of coordinates by any tangent to the curve x + y =2 Plz solve this problem............ ...

is it correct ln(1+x)<x for -1<x<0???????????? ...

if a function f(x) increases in the interval (a,b) then the function [f(x)]^n increases if ...

solve this plz lim (cotx - 1/x) x→0 ...

Consider a man standing at a point P at a distance a unit from the wall. This man has to reach at a point Q (which is on the same side of the wall). Distance between P and Q, measured along a wall is b units, while the distan ...

Lim (1/x2-cot2x) x→0 ...

let f:R\rightarrow R and f(x+y)=f(x)+f(y) for all x,y\epsilon R f(x) is continuous at x=0 find f(x)........[JEE 1981] ...

Evaluate the following: 1) limx→0 x2 sin1/x 2) limx→0 xcos1/x 3) limx→∞ sinx/x 4) limx→∞ cosx/x ...

Let h(x)=f(x)-(f(x))2+(f(x))3 for every real no x. Then- (a)h is increasing whenever f in is increasing. (b)h is increasing whenever f is decreasing. (c)h is decreasing whenever f is decreasing. (d)nothing can be said in gene ...

The function f(x)=sin4x+cos4x increases if (a)0<x<pi/8 (b)pi/4<x<3pi/8 (c)3pi/8<x<5pi/8 (d)5pi/8<X<3pi/4 ...

∫sinx/sin4x ...

1. f(x)= sin-1 (sin x)...find its period.... 2. 2f(x2) + 3f(1/x2) = x2 -1......for all x belonging to R - {0} then f(x2) = ????? pls ans urgently required...!!!! ...

∫ (3cosx+2) dx/(sinx+2cosx+3) Please give me a solution to this problem..... And these too. ∫(tanx)^(1/6)dx ∫√sin^-1(x) dx it's integration of root under sin inverse x . ...

pls solve these sums for me in detail: 1) What is the period of the function |sin2x|+|cos8x| 2) If f(x)=ln( x2+e/x2+1 ),then find the range of f(x) 3) Let f:R→R be defined by f(x)=(ex-e-x)/2.Is f(x) invertible?.If so find i ...

Find the intervals in which the function f(x)=3cos4x+10cos3x+6cos2x-3,0≤x≤pi;is monotonically increasing or decreasing. ...

find *Image* ...

\int dx/sinx+cosx ...

If f(x)=x3+bx2+cx+d and 0<b2<c, then in (-∞,∞) ,f(x) (a)is increasing. (b)is decreasing. (c)has local maxima. (d)is bounded. ...

If (1+x)^{n}=C_{0}+C_{1}x+C_{2}x^{2}+.......C_{n}x^{n} then prove that \sum_{0\leq i}^{}{\sum_{<j\leq n }^{}{}}C_{i}C_{j}(i+j)=n(2^{2n-1}-\frac{1}{2}. ^{2n}C_{n}) ...

Let f be a continuous function on [0,1] such that for all x\in[0,\,1] , \int_x^1 f(t)\ \mathrm{d}t \geq \dfrac{1-x^2}{2} Prove that \int_0^1 f^2(t)\ \mathrm{d}t \geq \dfrac{1}{3} Here, f2(x) means (f(x))2. Also, determine the ...

Prove that continuous functions on the closed interval [0,1] are bounded. ...

lim (1+x)1/x - e / x = ? x \rightarrow 0 here d numerator is whole divided by denominator(for any confusion) ...

Do the following limits exist .. limit x→0 x*sin(1/x) limit x→0 x*tan(1/x) limit x→0 tan(1/x) ...

*Image* ...